Results 71 to 80 of about 1,852 (142)
Bifurcation and pattern dynamics in the nutrient-plankton network
Mathematical Biosciences and Engineering, 2023 This paper used a Holling-IV nutrient-plankton model with a network to describe algae's spatial and temporal distribution and variation in a specific sea area.
Wenjie Yang +3 more
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Chapman-Enskog method and synchronization of globally coupled oscillators
, 2000 The Chapman-Enskog method of kinetic theory is applied to two problems of synchronization of globally coupled phase oscillators. First, a modified Kuramoto model is obtained in the limit of small inertia from a more general model which includes ...
A. B. Poore +19 more
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Bifurcation in a Leslie–Gower system with fear in predators and strong Allee effect in prey
Nonlinear AnalysisIn this paper, we consider a modified Leslie–Gower predator–prey model with Allee effect on prey and fear effect on predators. Results show complex dynamical behaviors in the model with these factors.
Ranchao Wu, Wenkai Xiong
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Bogdanov-Takens and Triple Zero Bifurcations of a Delayed Modified Leslie-Gower Predator Prey System
Abstract and Applied Analysis, 2013 A delayed modified Leslie-Gower predator prey system with nonlinear harvesting is considered. The existence conditions that an equilibrium is Bogdanov-Takens (BT) or triple zero singularity of the system are given. By using the center manifold reduction,
Xia Liu, Jinling Wang
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Chaotic dynamics of the Bianchi IX universe in Gauss-Bonnet gravity
, 2013 We investigate the dynamics of closed FRW universe and anisotropic Bianchi type-IX universe characterized by two scale factors in a gravity theory including a higher curvature (Gauss-Bonnet) term.
Kawai, Shinsuke, Kim, Edward J.
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, 2008 We present a bifurcation analysis of a normal form for travelling waves in one-dimensional excitable media. The normal form which has been recently proposed on phenomenological grounds is given in form of a differential delay equation.
Georg A. Gottwald +5 more
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Dynamical analysis of a toxin-producing phytoplankton-zooplankton model with refuge
Mathematical Biosciences and Engineering, 2017 To study the impacts of toxin produced by phytoplankton and refuges provided for phytoplankton on phytoplankton-zooplankton interactions in lakes, we establish a simple phytoplankton-zooplankton system with Holling type Ⅱ response function. The existence
Juan Li +3 more
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Bifurcation analysis of a model of the budding yeast cell cycle
, 2004 We study the bifurcations of a set of nine nonlinear ordinary differential equations that describe the regulation of the cyclin-dependent kinase that triggers DNA synthesis and mitosis in the budding yeast, Saccharomyces cerevisiae.
Battogtokh, Dorjsuren, Tyson, John J.
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Canard explosion in delayed equations with multiple timescales [PDF]
, 2014 We analyze canard explosions in delayed differential equations with a one-dimensional slow manifold. This study is applied to explore the dynamics of the van der Pol slow-fast system with delayed self-coupling.
Krupa, Maciej, Touboul, Jonathan D.
core
M-current induced Bogdanov-Takens bifurcation and switching of neuron excitability class. [PDF]
J Math Neurosci, 2021 Al-Darabsah I, Campbell SA.
europepmc +1 more source